Question

Solve the equation by factoring. 15=8x^2-14x

Answer 1

The solution is the result of 2x−5=0 and 4x+3=0.
x=5/2, −3/4 (That's negative three fourths).

Answer 2

8x^2 - 14x - 15 = 0

8 * -15  =  -120    so we want 2 numbers which when added give us -14

-20 and 6  look good, so we can write:-

8x^2 - 20x  + 6x - 15 = 0

4x(2x - 5) + 3(2x - 5) = 0

2x-5 is common so we have:-

(4x + 3)(2x - 5) = 0

4x + 3 = 0  or 2x - 5 = 0

solution is -3/4 and 5/2